8001256512 has 224 divisors, whose sum is σ = 22516185600. Its totient is φ = 2504466432.

The previous prime is 8001256511. The next prime is 8001256531. The reversal of 8001256512 is 2156521008.

It is a super-2 number, since 2×8001256512² (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 8001256512.

It is not an unprimeable number, because it can be changed into a prime (8001256511) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 29744314 + ... + 29744582.

Almost surely, 2^8001256512 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8001256512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11258092800).

8001256512 is an abundant number, since it is smaller than the sum of its proper divisors (14514929088).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

8001256512 is a wasteful number, since it uses less digits than its factorization.

8001256512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 453 (or 443 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 30.

The square root of 8001256512 is about 89449.7429398207. The cubic root of 8001256512 is about 2000.1047038518.

The spelling of 8001256512 in words is "eight billion, one million, two hundred fifty-six thousand, five hundred twelve".